GCF of 815/283, 154/702, 485/696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 815/283, 154/702, 485/696 i.e 1/23045256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/283, 154/702, 485/696.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 815/283,154/702,485/696?
Given fractions are 815/283,154/702,485/696
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 815/283,154/702,485/696, numerators are 815,154,485
Denominators are 283,702,696
The GCF of 815,154,485 is 1 .
LCM of 283,702,696 is 23045256.
The greatest common factor of 815/283,154/702,485/696 = [GCF of 815,154,485]/[LCM of 283,702,696]= 1/23045256
Therefore, the GCF of 815/283,154/702,485/696 is 1/23045256.
To find the highest common factor of 815,154,485, we have to find the factors of both numbers and list the highest common factor.
The factors of 815 are 1, 5, 163, 815
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The factors of 485 are 1, 5, 97, 485
The HCF of 815,154,485 is 1.
Lets's calculate GCF of 815,154,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 815,154,485 By Matching Biggest Common Factor Method
Now, list down the factors of 815
:1,5,163,815
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Now, list down the factors of 485
:1,5,97,485
Greatest Common Factor
We found the factors 815,154,485 . The biggest common factor number is the GCF number.
So the greatest common factor 815,154,485 is 1.
Lets's calculate LCM of 283,702,696
| 2 | 283, 702, 696 |
| 3 | 283, 351, 348 |
| 283, 117, 116 |
∴ So the LCM of the given numbers is 2 x 3 x 283 x 117 x 116 = 23045256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23045256
Therefore, the GCF of Fractions 815/283,154/702,485/696 is 1/23045256
Least Common Multiple of 283,702,696 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 283,702,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,702,696) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(283,702,696) x common factors =1 x 6 = 6
LCM(283,702,696) = ( 283 × 702 × 696 ) / 6
LCM(283,702,696) = 138271536 / 6
LCM(283,702,696) = 23045256
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FAQs on GCF of Fractions of 815/283, 154/702, 485/696
1. What is the HCF of 815,154,485?
The HCF of 815,154,485 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 815/283, 154/702, 485/696?
Answer: GCF of Numerators as per given numbers 815/283, 154/702, 485/696 is
GCF of Numerators i.e. for 815,154,485 is 1
LCM of denominators i.e. for 283,702,696 is 23045256.
Thus, GCF of Fractions is 1/23045256.Finally, GCF of Fractions for 815/283, 154/702, 485/696 is 1/23045256.